Optical constants

Refractive index of N-LAK33B (SCHOTT)

N-LAK33B: n,k 0.3–2.5 µm

Data
formula 2 + tabulated k
Range
0.3–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3–2.5 µm
Refractive index n
1.755
Extinction coefficient k
1.16339e-08
Permittivity ε1
3.08002
Permittivity ε2
4.08349e-08
Absorption coefficient α
0.00248801 cm⁻¹
Penetration depth δ = λ/(2πk)
8.03854e+09 nm
Abbe number Vd
52.3
Chromatic dispersion dn/dλ
-0.0744316 µm⁻¹
Group index ng
1.79873
Group velocity dispersion
131.735 fs²/mm
Dispersion parameter D
-718.687 ps/(nm·km)
Photon energy
2.11001 eV

ε = (n + ik)², α = 4πk/λ, ng = n − λ dn/dλ, GVD = λ³/(2πc²) d²n/dλ², D = −(λ/c) d²n/dλ². Group-velocity dispersion is given for formula data only.

Use it in Lightsmith

Load this data in Python, simulate in one more line

pip install lightsmith
import lightsmith as ls

# N-LAK33B (SCHOTT): N-LAK33B
schott_n_lak33b = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-LAK33B", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_n_lak33b.range_nm)  # (300, 2500) nm
eps = schott_n_lak33b.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

Lightsmith is open source (MIT): Mie, T-matrix, BEM, DDA, FDTD, RCWA, TMM, mode solvers and inverse design behind one spec, on CPU or GPU. GitHub.

Dispersion formula

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=1.42288601λ2λ2−0.00670283452+0.593661336λ2λ2−0.021941621+1.1613526λ2λ2−80.7407701

Valid from 0.3 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.42288601
C30.00670283452
C40.593661336
C50.021941621
C61.1613526
C780.7407701

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 2.77e-06 1.24e-08 1.22e-11 5.19e-07 6.02e-10 0.184
nd
1.755
Vd
52.3
glass code
755523.422
glass status
standard
density
value: 4221
thermal expansion
value: 5.83e-06, temperature range: 243 343; value: 7.06e-06, temperature range: 293 573
dPgF
-0.0085
resistance
acid: 51.3; stain: 1.0; alkali: 1.0; climatic: 1.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.47e-06 K⁻¹ at 633 nm, dn/dT = 1.78e-06 K⁻¹ at 1310 nm, dn/dT = 1.72e-06 K⁻¹ at 1550 nm

References

Cite

SCHOTT Zemax catalog 2017-01-20b (obtained from http://www.schott.com); See also SCHOTT glass data sheets; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 423 wavelengths, the same grid as the API and the library
N-LAK33B (SCHOTT), N-LAK33B: n and k versus wavelength
λ (µm)nk
0.31.82244.397600e-06
0.3015981.8213064.247748e-06
0.3032051.8202284.097097e-06
0.3048211.8191663.945643e-06
0.3064451.818123.793383e-06
0.3080781.8170893.640311e-06
0.3097191.8160733.486423e-06
0.311.8159023.460100e-06
0.3113691.8150723.260519e-06
0.3130281.8140863.018736e-06
0.3146961.8131142.775665e-06
0.3163731.8121562.531298e-06
0.3180591.8112112.285630e-06
0.3197531.8102812.038652e-06
0.321.8101472.002700e-06
0.3214571.8093631.910431e-06
0.323171.8084581.801965e-06
0.3248921.8075661.692921e-06
0.3266231.8066871.583296e-06
0.3283631.805821.473087e-06
0.3301121.8049651.362291e-06
0.3318711.8041221.250904e-06
0.333641.8032911.138924e-06
0.3341.8031241.116100e-06
0.3354171.8024711.066017e-06
0.3372041.8016631.002863e-06
0.3390011.8008659.393726e-07
0.3408071.8000798.755439e-07
0.3426231.7993038.113751e-07
0.3444491.7985377.468644e-07
0.3462841.7977826.820101e-07
0.3481291.7970386.168101e-07
0.3499841.7963035.512628e-07
0.351.7962965.506900e-07
0.3518491.7955785.165759e-07
0.3537231.7948634.819793e-07
0.3556081.7941574.471984e-07
0.3575031.793464.122321e-07
0.3594071.7927733.770796e-07
0.3613221.7920953.417398e-07
0.3632481.7914253.062116e-07
0.3651.7908272.738700e-07
0.3651831.7907652.718790e-07
0.3671291.7901132.507018e-07
0.3690851.7894692.294116e-07
0.371.7891722.194500e-07
0.3710511.7888342.111987e-07
0.3730281.7882071.956812e-07
0.3750161.7875891.800811e-07
0.3770141.7869781.643979e-07
0.3790231.7863751.486311e-07
0.381.7860851.409600e-07
0.3810421.7857791.356587e-07
0.3830721.7851911.253309e-07
0.3851131.7846111.149481e-07
0.3871651.7840381.045100e-07
0.3892281.7834729.401632e-08
0.391.7832639.009000e-08
0.3913021.7829148.686350e-08
0.3933871.7823628.169693e-08
0.3954831.7818177.650283e-08
0.397591.781287.128106e-08
0.3997081.7807486.603146e-08
0.41.7806766.530900e-08
0.4018381.7802246.262531e-08
0.4039791.7797065.949941e-08
0.4051.7794625.800900e-08
0.4061321.7791945.660083e-08
0.4082961.7786885.390806e-08
0.4104711.7781895.120095e-08
0.4126581.7776964.847942e-08
0.4148571.7772094.574338e-08
0.4170671.7767284.299277e-08
0.4192891.7762534.022750e-08
0.421.7761023.934300e-08
0.4215231.7757833.840165e-08
0.4237691.7753193.701367e-08
0.4260271.7748613.561830e-08
0.4282971.7744083.421550e-08
0.4305791.7739613.280522e-08
0.4328731.7735193.138743e-08
0.4351791.7730822.996208e-08
0.4361.7729292.945500e-08
0.4374981.7726512.890499e-08
0.4398291.7722242.804921e-08
0.4421731.7718032.718887e-08
0.4445291.7713862.632395e-08
0.4468971.7709752.545442e-08
0.4492781.7705682.458026e-08
0.4516721.7701662.370144e-08
0.4540781.7697692.281793e-08
0.4564981.7693762.192972e-08
0.458931.7689882.103678e-08
0.461.768822.064400e-08
0.4613751.7686052.031859e-08
0.4638341.7682261.973697e-08
0.4663051.7678511.915225e-08
0.4687891.7674811.856441e-08
0.4712871.7671141.797345e-08
0.4737981.7667521.737933e-08
0.4763231.7663951.678205e-08
0.4788611.7660411.618158e-08
0.4814121.7656911.557792e-08
0.4839771.7653451.497104e-08
0.4865561.7650031.436093e-08
0.4891481.7646651.374756e-08
0.4917541.7643311.313093e-08
0.4943741.7641.251101e-08
0.4970081.7636731.188779e-08
0.4996571.763351.126125e-08
0.51.7633091.118000e-08
0.5023191.763031.105558e-08
0.5049951.7627141.091196e-08
0.5076861.7624021.076759e-08
0.5103911.7620921.062244e-08
0.513111.7617871.047652e-08
0.5158441.7614841.032982e-08
0.5185931.7611851.018234e-08
0.5213561.7608891.003408e-08
0.5241341.7605969.885024e-09
0.5269261.7603079.735175e-09
0.5297341.760029.584528e-09
0.5325561.7597379.433078e-09
0.5353941.7594579.280821e-09
0.5382461.7591799.127753e-09
0.5411141.7589058.973869e-09
0.5439971.7586338.819166e-09
0.5461.7584478.711700e-09
0.5468961.7583658.774908e-09
0.549811.7580998.980535e-09
0.5527391.7578369.187259e-09
0.5556841.7575769.395083e-09
0.5586451.7573189.604015e-09
0.5616211.7570639.814060e-09
0.5646141.7568111.002522e-08
0.5676221.7565611.023751e-08
0.5706461.7563141.045093e-08
0.5736871.756071.066549e-08
0.5767431.7558281.088119e-08
0.5798161.7555881.109804e-08
0.581.7555741.111100e-08
0.5829061.7553511.131091e-08
0.5860111.7551161.152459e-08
0.5891341.7548841.173941e-08
0.5922731.7546531.195537e-08
0.5954281.7544261.217248e-08
0.5986011.75421.239074e-08
0.601791.7539771.261017e-08
0.6049971.7537561.283077e-08
0.608221.7535371.305255e-08
0.6114611.753321.327551e-08
0.6147191.7531051.349965e-08
0.6179941.7528921.372499e-08
0.621.7527641.386300e-08
0.6212871.7526821.382375e-08
0.6245971.7524731.372279e-08
0.6279251.7522671.362129e-08
0.6312711.7520621.351925e-08
0.6346341.7518591.341666e-08
0.6380151.7516581.331353e-08
0.6414151.7514591.320985e-08
0.6448321.7512621.310561e-08
0.6482681.7510671.300082e-08
0.6517221.7508741.289548e-08
0.6551951.7506821.278957e-08
0.6586851.7504921.268309e-08
0.661.7504211.264300e-08
0.6621951.7503041.256211e-08
0.6657231.7501171.243210e-08
0.669271.7499321.230139e-08
0.6728361.7497491.216999e-08
0.6764211.7495671.203788e-08
0.6800251.7493871.190507e-08
0.6836481.7492091.177156e-08
0.6872911.7490321.163733e-08
0.6909531.7488571.150239e-08
0.6946341.7486831.136672e-08
0.6983351.748511.123034e-08
0.71.7484341.116900e-08
0.7020561.7483391.120181e-08
0.7057971.748171.126149e-08
0.7095571.7480021.132149e-08
0.7133381.7478351.138181e-08
0.7171391.747671.144246e-08
0.720961.7475061.150342e-08
0.7248011.7473431.156471e-08
0.7286631.7471811.162633e-08
0.7325451.7470211.168828e-08
0.7364481.7468621.175055e-08
0.7403721.7467051.181316e-08
0.7443171.7465481.187610e-08
0.7482831.7463931.193938e-08
0.752271.7462391.200299e-08
0.7562781.7460861.206694e-08
0.7603071.7459351.213124e-08
0.7643581.7457841.219587e-08
0.7684311.7456341.226085e-08
0.7725251.7454861.232618e-08
0.7766411.7453391.239185e-08
0.7807791.7451921.245788e-08
0.7849391.7450471.252425e-08
0.7891211.7449031.259098e-08
0.7933261.7447591.265807e-08
0.7975531.7446171.272551e-08
0.8018021.7444761.279331e-08
0.8060741.7443351.286148e-08
0.8103691.7441961.293000e-08
0.8146871.7440571.299889e-08
0.8190281.7439191.306815e-08
0.8233911.7437821.313778e-08
0.8277791.7436461.320778e-08
0.8321891.7435111.327815e-08
0.8366231.7433771.334890e-08
0.8410811.7432431.342002e-08
0.8455621.743111.349152e-08
0.8500671.7429781.356341e-08
0.8545961.7428471.363567e-08
0.859151.7427161.370832e-08
0.8637271.7425861.378136e-08
0.8683291.7424571.385479e-08
0.8729561.7423281.392861e-08
0.8776071.7422011.400282e-08
0.8822831.7420731.407743e-08
0.8869841.7419471.415243e-08
0.891711.7418211.422784e-08
0.8964611.7416951.430365e-08
0.9012381.7415711.437986e-08
0.9060391.7414461.445647e-08
0.9108671.7413231.453350e-08
0.915721.74121.461093e-08
0.9205991.7410771.468878e-08
0.9255041.7409551.476704e-08
0.9304351.7408331.484572e-08
0.9353931.7407121.492482e-08
0.9403771.7405921.500434e-08
0.9453871.7404711.508429e-08
0.9504241.7403521.516465e-08
0.9554881.7402321.524545e-08
0.9605791.7401131.532668e-08
0.9656971.7399951.540834e-08
0.9708421.7398771.549044e-08
0.9760151.7397591.557297e-08
0.9812151.7396411.565595e-08
0.9864431.7395241.573936e-08
0.9916991.7394071.582322e-08
0.9969831.7392911.590753e-08
1.00231.7391751.599229e-08
1.007641.7390591.607749e-08
1.0131.7389431.616315e-08
1.01841.7388281.624927e-08
1.023831.7387131.633585e-08
1.029281.7385981.642289e-08
1.034771.7384831.651039e-08
1.040281.7383681.659836e-08
1.045821.7382541.668680e-08
1.05141.738141.677570e-08
1.0571.7380251.686509e-08
1.061.7379651.691300e-08
1.062631.7379111.784535e-08
1.068291.7377981.985344e-08
1.073981.7376842.187223e-08
1.07971.737572.390177e-08
1.085461.7374572.594213e-08
1.091241.7373432.799336e-08
1.097061.737233.005552e-08
1.10291.7371163.212866e-08
1.108781.7370033.421285e-08
1.114681.736893.630815e-08
1.120621.7367763.841461e-08
1.126591.7366634.053229e-08
1.13261.7365494.266126e-08
1.138631.7364364.480157e-08
1.14471.7363224.695328e-08
1.15081.7362094.911646e-08
1.156931.7360955.129117e-08
1.163091.7359815.347746e-08
1.169291.7358675.567540e-08
1.175521.7357535.788505e-08
1.181781.7356396.010647e-08
1.188081.7355256.233973e-08
1.194411.735416.458489e-08
1.200771.7352956.684201e-08
1.207171.7351816.911116e-08
1.21361.7350657.139239e-08
1.220071.734957.368578e-08
1.226571.7348347.599140e-08
1.233111.7347197.830929e-08
1.239681.7346028.063954e-08
1.246281.7344868.298220e-08
1.252921.7343698.533734e-08
1.25961.7342528.770503e-08
1.266311.7341359.008534e-08
1.273061.7340179.247833e-08
1.279841.7338999.488407e-08
1.286661.7337819.730263e-08
1.293511.7336629.973407e-08
1.30041.7335431.021785e-07
1.307331.7334231.046359e-07
1.31431.7333031.071064e-07
1.32131.7331821.095901e-07
1.328341.7330611.120870e-07
1.335421.732941.145972e-07
1.342531.7328181.171208e-07
1.349691.7326951.196578e-07
1.356881.7325721.222084e-07
1.364111.7324491.247725e-07
1.371381.7323251.273503e-07
1.378681.73221.299419e-07
1.386031.7320751.325472e-07
1.393411.7319491.351665e-07
1.400841.7318221.377997e-07
1.40831.7316951.404469e-07
1.415811.7315671.431082e-07
1.423351.7314391.457837e-07
1.430931.731311.484734e-07
1.438561.731181.511775e-07
1.446221.7310491.538960e-07
1.453931.7309181.566290e-07
1.461671.7307861.593765e-07
1.469461.7306531.621387e-07
1.477291.7305191.649156e-07
1.485161.7303851.677073e-07
1.493081.730251.705139e-07
1.501031.7301141.733354e-07
1.509031.7299771.761720e-07
1.517071.7298391.790236e-07
1.525151.72971.818905e-07
1.531.7296171.836100e-07
1.533281.729561.898344e-07
1.541451.729422.053468e-07
1.549661.7292782.209419e-07
1.557921.7291362.366201e-07
1.566221.7289922.523819e-07
1.574561.7288482.682276e-07
1.582951.7287022.841578e-07
1.591391.7285563.001728e-07
1.599871.7284083.162732e-07
1.608391.728263.324593e-07
1.616961.728113.487317e-07
1.625571.7279593.650908e-07
1.634241.7278073.815370e-07
1.642941.7276533.980709e-07
1.65171.7274994.146929e-07
1.66051.7273434.314034e-07
1.669341.7271874.482030e-07
1.678241.7270284.650920e-07
1.687181.7268694.820711e-07
1.696171.7267084.991406e-07
1.705211.7265465.163011e-07
1.714291.7263835.335530e-07
1.723431.7262185.508968e-07
1.732611.7260525.683331e-07
1.741841.7258855.858622e-07
1.751121.7257166.034848e-07
1.760451.7255456.212012e-07
1.769831.7253746.390120e-07
1.779261.72526.569177e-07
1.788741.7250256.749189e-07
1.798271.7248496.930159e-07
1.807851.7246717.112094e-07
1.817491.7244917.294998e-07
1.827171.724317.478876e-07
1.83691.7241277.663734e-07
1.846691.7239437.849578e-07
1.856531.7237568.036411e-07
1.866421.7235688.224240e-07
1.876371.7233798.413069e-07
1.886371.7231878.602905e-07
1.896421.7229948.793752e-07
1.906521.7227988.985616e-07
1.916681.7226019.178503e-07
1.926891.7224029.372417e-07
1.937161.7222029.567364e-07
1.947481.7219999.763350e-07
1.957851.7217949.960380e-07
1.968291.7215871.015846e-06
1.971.7215531.019100e-06
1.978771.7213781.170887e-06
1.989321.7211671.353288e-06
1.999921.7209541.536661e-06
2.010571.7207391.721011e-06
2.021281.7205211.906343e-06
2.032051.7203012.092663e-06
2.042881.720082.279975e-06
2.053771.7198552.468286e-06
2.064711.7196292.657600e-06
2.075711.71942.847922e-06
2.086771.7191693.039259e-06
2.097891.7189353.231615e-06
2.109061.7186993.424996e-06
2.12031.718463.619407e-06
2.13161.7182193.814854e-06
2.142961.7179764.011343e-06
2.154371.7177294.208878e-06
2.165851.717484.407466e-06
2.177391.7172294.607112e-06
2.188991.7169744.807822e-06
2.200661.7167175.009601e-06
2.212381.7164575.212455e-06
2.224171.7161945.416390e-06
2.236021.7159295.621412e-06
2.247931.715665.827526e-06
2.259911.7153896.034738e-06
2.271951.7151146.243054e-06
2.284061.7148366.452480e-06
2.296231.7145556.663022e-06
2.308461.7142716.874686e-06
2.320761.7139847.087478e-06
2.3251.7138857.160800e-06
2.333131.7136947.679178e-06
2.345561.71348.472084e-06
2.358061.7131039.269214e-06
2.370621.7128021.007059e-05
2.383251.7124981.087624e-05
2.395951.7121911.168618e-05
2.408711.711881.250043e-05
2.421551.7115651.331903e-05
2.434451.7112471.414198e-05
2.447421.7109251.496932e-05
2.460461.7105991.580107e-05
2.473571.7102691.663725e-05
2.486751.7099361.747789e-05
2.51.7095981.832300e-05

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—